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Real Analysis and Probability 1st Edition by Dudley ISBN 978-0521809726 052180972X

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Real Analysis and Probability 1° Edition R. M. Dudley Digital Instant Download

Author(s): R. M. Dudley
ISBN(s): 9780521809726, 052180972X
Edition: 1°
File Details: PDF, 2.38 MB
Year: 2002
Language: english
SKU: EB-1915864 Category: Tag:

Real Analysis and Probability 1st Edition by R. M. Dudley- Ebook PDF Instant Download/Delivery: 978-0521809726, 052180972X
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Product details: 

ISBN 10: 052180972X

ISBN 13: 978-0521809726

Author: R. M. Dudley 

This classic textbook, now reissued, offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The new edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical notes have been further amplified. A number of new exercises have been added, together with hints for solution.
 

Table of contents: 

  1. Foundations: Set theory

  2. General Topology

  3. Measures

  4. Integration

  5. Lp Spaces: Introduction to functional analysis

  6. Convex Sets and Duality of Normed Spaces

  7. Measure, Topology, and Differentiation

  8. Introduction to Probability Theory

  9. Convergence of Laws and Central Limit Theorems

  10. Conditional Expectations and Martingales

  11. Convergence of Laws on Separable Metric Spaces

  12. Stochastic Processes

  13. Measurability: Borel isomorphism and analytic sets

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Tags: Dudley, Real Analysis